Details

Time bar (total: 3.1s)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify117.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0319
1519
2699
3869
4949
51059
61399
71779
82029
92469
104169
116159
129929
1319489
1422409
1531549
1650019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 0.99229 (* x 0.04481))
0.0b
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
0.1b
(* x (+ 0.99229 (* x 0.04481)))
13.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
18×*-un-lft-identity
16×add-cube-cbrt
10×add-exp-log times-frac add-cbrt-cube
9×associate-*r*
8×pow1
6×associate-*l* add-log-exp
4×flip3-+ associate-*r/ flip-+
3×distribute-rgt-in distribute-lft-in associate-/r* associate-/l*
2×sub-neg pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod associate-/l/ difference-of-squares unswap-sqr
1×cbrt-undiv +-commutative flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv distribute-lft-out--
Counts
4 → 91
Calls
4 calls:
2.0ms
(+ 0.99229 (* x 0.04481))
75.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
7.0ms
(* x (+ 0.99229 (* x 0.04481)))
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(+ 0.99229 (* x 0.04481))
94.0ms
(* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x))
66.0ms
(* x (+ 0.99229 (* x 0.04481)))
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
0512893
12220827
25001827

prune215.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

7.3b
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
14.0b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.0b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
14.0b
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
43×add-sqr-sqrt
33×times-frac
25×*-un-lft-identity
24×associate-*r*
22×add-cube-cbrt
21×cbrt-prod
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 119
Calls
4 calls:
69.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
1.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* (/ 1 (* (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))))) (/ (+ 2.30753 (* x 0.27061)) (cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))))
143.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
134.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
140.0ms
(cbrt (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))

simplify93.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07612759
137612417
250022216

prune421.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (+ 0.99229 (* x 0.04481)))
0.1b
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
13.7b
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
21.3b
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
9×pow1 times-frac
8×cbrt-prod
6×associate-*r/
4×cube-div add-log-exp
3×pow-unpow flip3-+ associate-*r* associate-*l* associate-/r* flip-+ associate-/l*
2×cube-mult unpow-prod-down cbrt-div flip3-- pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp associate-/r/ flip-- cbrt-unprod associate-/l/ rem-cube-cbrt sqr-pow
1×cbrt-undiv distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in pow1/3 div-exp clear-num *-commutative rem-cbrt-cube div-inv unswap-sqr
Counts
4 → 96
Calls
4 calls:
10.0ms
(* x (+ 0.99229 (* x 0.04481)))
24.0ms
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
9.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
2.0ms
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

series358.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* x (+ 0.99229 (* x 0.04481)))
133.0ms
(pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3)
59.0ms
(/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481)))))
99.0ms
(cbrt (pow (* 0.70711 (- (/ (+ 2.30753 (* x 0.27061)) (+ 1.0 (* x (+ 0.99229 (* x 0.04481))))) x)) 3))

simplify73.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
05601150
124341083
250021082

prune286.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample357.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid